Scheduling Puzzle: Day E Plays
We need to determine the day E plays the game based on the given schedule constraints.
Step 1: Establish the Weekly Schedule Framework
The game is played over 7 days, from Monday to Sunday.
- Monday
- Tuesday
- Wednesday
- Thursday
- Friday
- Saturday
- Sunday
Step 2: Place C and Deduce B's Day
We know C plays on Friday.
There is exactly one person between C and B. Since C is on Friday, B could be on Wednesday (Friday - 2 days) or Sunday (Friday + 2 days).
We are also told B does not play on Sunday.
Therefore, B must play on Wednesday.
Current Schedule:
- Monday:
- Tuesday:
- Wednesday: B
- Thursday:
- Friday: C
- Saturday:
- Sunday:
Step 3: Place A and D
A plays immediately before D, forming an 'AD' block. D does not play on Sunday.
Possible slots for the 'AD' block, considering B is on Wednesday and C is on Friday:
- Monday/Tuesday: Possible.
- Tuesday/Wednesday: Not possible (B is on Wednesday).
- Wednesday/Thursday: Not possible (B is on Wednesday).
- Thursday/Friday: Not possible (C is on Friday).
- Saturday/Sunday: Not possible (D cannot be on Sunday).
The only valid placement for 'AD' is Monday and Tuesday.
Current Schedule:
- Monday: A
- Tuesday: D
- Wednesday: B
- Thursday:
- Friday: C
- Saturday:
- Sunday:
Step 4: Place G and F
F plays immediately after G, forming a 'GF' block.
The remaining days are Thursday, Saturday, and Sunday.
The only consecutive available days for the 'GF' block are Saturday and Sunday.
Therefore, G plays on Saturday and F plays on Sunday.
Current Schedule:
- Monday: A
- Tuesday: D
- Wednesday: B
- Thursday:
- Friday: C
- Saturday: G
- Sunday: F
Step 5: Determine E's Day
The only person left is E, and the only day left is Thursday.
Final Schedule:
- Monday: A
- Tuesday: D
- Wednesday: B
- Thursday: E
- Friday: C
- Saturday: G
- Sunday: F
Thus, E plays the game on Thursday.
Important Questions from Scheduling Puzzle
- Each of O, P, Q, R, S, T and U has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. S has an exam on Wednesday. R has an exam on one of the days after P and T has an exam on one of the days before Q. U has an exam immediately after O and S has an exam immediately before O. T has an exam on one of the days after U. How many people have an exam between S and Q?
- Each of C, D, E, F, S, T and U has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. F has the exam on Friday. Only two people have their exams between T and F. Only four people have their exams between E and T. S has the exam immediately after U. D does not have the exam on Monday. How many people have their exams before D and after C?
- Each of M, N, O, P, Q, R and S has an exam on a different day of the week, starting from Monday and ending on Sunday of the same week. S has an exam on Friday. Only two people have exams between S and R. O has an exam immediately before N. M has an exam immediately after P. S has an exam on one of the days after M. On which day does Q have an exam?
- Each of C, D, E, F, S, T and U has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. S has the exam on Thursday and T has the exam on Saturday. F has the exam immediately before U. C has the exam on one of the days after E. D has the exam immediately after U. Who has the exam on the last day of the week?
Each of J, K, L, M, N, O and P has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. Only two people have exams before P. Only one person has an exam after L. Only three people have exams between P and J. Only one person has an exam between K and L. O has an exam immediately after M.
How many people have exams between M and N?
